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A ring of radius R rolls without slippin...

A ring of radius `R` rolls without slipping on a rough horizontal surface with a constant velocity. The radius of curvature of the path followed by any particle of the ring at the highest point of its path will be :
.

A

R

B

2 R

C

4 R

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
( c) Radius of Curvature `= (("velocity")^2)/("Normal Acceleration")`
=`((2 v)^2)/(v^2//R) = 4 R`.
.
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Knowledge Check

  • The radius of curvature of the path of a charged particle moving in a static uniform magnetic field is

    A
    Directly propotional to the magnitude of the charge on the particle
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    Directly proportional to the magnitude of the linear momentum of the particle
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